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Finding the Fourth Proportional to 261,925, 361,456.50 and 142,693

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Solution

The fourth proportional to 261,925, 361,456.50 and 142,693 is: 196,916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,925 : 361,456.50 = 142,693 : x
  2. Step 2: Convert to fraction form
    261,925/361,456.50 = 142,693/x
  3. Step 3: Cross multiply
    261,925x = 361,456.50 × 142,693
  4. Step 4: Simplify right side
    261,925x = 51,577,312,354.50
  5. Step 5: Solve for x
    x = 51,577,312,354.50/261,925
  6. Step 6: Final answer
    x = 196,916.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.